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Finding the Fourth Proportional to 597.64, 824.82 and 349.10

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Solution

The fourth proportional to 597.64, 824.82 and 349.10 is: 481.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.64 : 824.82 = 349.10 : x
  2. Step 2: Convert to fraction form
    597.64/824.82 = 349.10/x
  3. Step 3: Cross multiply
    597.64x = 824.82 × 349.10
  4. Step 4: Simplify right side
    597.64x = 287,944.66
  5. Step 5: Solve for x
    x = 287,944.66/597.64
  6. Step 6: Final answer
    x = 481.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.